Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch

Tanaka, Yukihiro; Tomoyasu, Yoshinobu; Tamura, Shin–ichiro

doi:10.1103/physrevb.62.7387

Cited by 360 publications

(198 citation statements)

References 20 publications

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“…The transmission line model is especially used when calculating multi-layered structures, giving adequate results and reducing the amount of computation power and time to realize the simulations. It has been previously used to calculate the transmission spectrum of phononic crystals with good results [9][10][11][12][13][14].…”

Section: (B)mentioning

confidence: 99%

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

et al. 2017

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. Fullydisposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity. Measurement: Journal of the International Measurement Confederation, 102, pp. 20-25. doi: 10.1016Confederation, 102, pp. 20-25. doi: 10. /j.measurement.2017 This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent b s t r a c tPhononic crystals are artificial structures with unique capabilities to control the transmission of acoustic waves. These novel periodic composite structures bring new possibilities for developing a fundamentally new sensor principle that combines features of both ultrasonic and resonant sensors. This paper reports the design, fabrication and evaluation of a phononic crystal sensor for biomedical applications, especially for its implementation in point of care testing technologies. The key feature of the sensor system is a fully-disposable multi-layered phononic crystal liquid sensor element with symmetry reduction and a resonant cavity. The phononic crystal structure consists of eleven layers with high acoustic impedance mismatch. A defect mode was utilized in order to generate a well-defined transmission peak inside the bandgap that can be used as a measure. The design of the structures has been optimized with simulations using a transmission line model. Experimental realizations were performed to evaluate the frequency response of the designed sensor using different liquid analytes. The frequency of the characteristic transmission peaks showed to be dependent on the properties of the analytes used in the experiments. Multi-layered phononic crystal sensors can be used in applications, like point of care testing, where the on-line measurement of small liquid samples is required.

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Section: (B)mentioning

confidence: 99%

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

et al. 2017

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“…However, it is possible to simulate the structures in which the cylinders are filled with vacuum by choosing the parameters to meet the condition ρ/c ij → 0. 21,22 To carry out PWM calculations, the Fourier series should be limited to a finite number of terms. For our simulations we chose n = 169 terms to reproduce the medium, which was enough to get convergent results.…”

Section: A Plane Wave Methodsmentioning

confidence: 99%

Simulations of acoustic waves bandgaps in a surface of silicon with a periodic hole structure in a thin nickel film

Graczyk

Mróz

2014

AIP Advances

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We have performed simulations of dispersion relations for surface acoustic waves in two-dimensional phononic crystal by the finite elements method (FEM) and by the plane wave method (PWM). Considered medium is a thin nickel layer on a silicon single crystal (001) surface. The nickel film is decorated with cylindrical holes of the depth equal to the nickel film thickness arranged in a square lattice. We have obtained full bandgaps for the surface waves propagating in the medium of particular range of filling factor and layer thickness. The width of the bandgap had reached over 500[MHz] for the sample of the lattice constant 500[nm] and is sufficient for experimental design.

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“…In addition, acoustic negative refraction and an imaging effect of acoustic waves were achieved in the phononic crystals [9]. In general, most of the investigations for solid-fluid periodic structures, known as mixed phononic crystals, focused on placing rigid or liquid materials in air background, water, glycerin, chloroform, or mercury by creating relative density difference between the component materials [10,11]. However, these are all fixed parameters and cannot be changed easily unless one of the materials is physically replaced by placing another material.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation and acoustic band gaps of two-dimensional liquid crystal/solid phononic crystals

2016

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The vast majority of acoustic wave propagation in phononic band studies has been usually carried out by scattering inclusions embedded in a viscoelastic medium, such as air or water. In this study, we present calculated band structure results for the two-dimensional square array geometry of a solid cylindrical scatterer surrounded by a liquid crystal (LC) matrix. Liquid crystals provide a unique combination of liquidlike and crystal-like properties as well as anisotropic properties. The purpose of using LC material is to take advantage of longitudinal acoustic waves propagating parallel (||) and perpendicular (\) to the nematic liquid crystal (NLC) director n. The compound used in this study was a room temperature NLC, called 5CB (4-pentyl-4 0 -cyanobiphenyl). The acoustic band structure of a two-dimensional phononic crystal containing a 5CB NLC and lithium tantalate was investigated by the plane wave expansion method. The theoretical results show that the solid/LC system can be tuned in a favorable configuration for adjusting or shifting acoustic band gaps.

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Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch

Cited by 360 publications

References 20 publications

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

Simulations of acoustic waves bandgaps in a surface of silicon with a periodic hole structure in a thin nickel film

Wave propagation and acoustic band gaps of two-dimensional liquid crystal/solid phononic crystals

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